Chaos and Dynamical Systems

Catalog description

Topics will include dynamics of maps and of first order and second-order differential equations, stability, bifurcations, limit cycles, dissection of systems with fast and slow time scales. Geometric viewpoint, including phase planes, will be stressed. Chaotic behavior will be introduced in the context of one-variable maps (the logistic), fractal sets, etc. Applications will be drawn from physics and biology. There will be homework and projects, and a few computer lab sessions (programming experience is not a prerequisite). | Prerequisites: C or better in ( MA-UY 1124 , MA-UY 1424 or MA-UY 1132) and ( MA-UY 1044 , MA-UY 3054 or MA-UY 3113 )